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stub for Cartan calculus
I added some hints about related subjects.
Thanks, I was thinking of that, too. We should eventually have a separate entry on the Cartan model for equiv-cohomology…
Cartan’s model for equivariant cohomology is limited to rather special spaces, like differentiable manifolds, no ? On the other hand, equivariant cohomology is studied for more general spaces and under more general topological groups.
Come on, locally compact groups are so important (those beyond Lie groups). Even if you consider differentiable manifolds, the group variable is often so much more general.
Not sure what the issue is. Certainly Cartan’s model for equivariant cohomology deserves to be discussed or at least linked at the entry on equivariant cohomology.
Surely it has to be a section. I was asking for it a cuple of weeks ago. But Kevin’s complaint
I noticed that the equivariant cohomology page doesn’t yet have anything at all about the Cartan approach.
has an appropriate answer: we preferred to center the entry about the general approach. Special features are for special sections or even separate entries. Kevin answers that manifolds are general enough. I still disagree.
I would like to see also connection to the equivariant localization formulas. Very important in my nlab plans and need exactly the Cartan model for many aspects.
It deserves a large section at least…
Added the remaining identities.
Added:
Cartan calculus on diffeological spaces requires a nontrivial condition, which is explored and developed in
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